The age of people entering a super store is likely to be normally distributed.
The heights of people entering a super store is likely to be normally distributed.
The number of 8 oz glasses of milk in 1 gallon is not likely to be normally distributed.
The gallons of milk sold at the super store in one week is likely to be normally distributed.
What is normal distribution?
A normal distribution is a probability distribution that is symmetric around the mean of the distribution. When depicted on a graph, a normal distribution is bell-shaped.
People of all ages and heights would enter a superstore. Thus, the distribution is likely to be normal. The 8 oz glasses of milk in 1 gallon is a constant amount. Thus, the distribution is not likely to be normal.
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Help? It’s for scantron and I have to exempt
Answer:
A. Red/Line C
Step-by-step explanation:
In triangle abc, measure of angle a = 90 degrees and line an is an altitude. if ab = 20 in. and ac = 15 in., find bc, bn, nc, an
Answer:
BC = 25 in
AN = 12 in
BN = 16 in
NC = 9 in
Formulas:
Pythagorean Theorem
[tex]c^2 = a^2 + b^2[/tex]
c ... hypotenuse
a ... one leg
b ... another leg
Pythagorean theorem is used in right triangles (triangles in which one angle is 90°).
Area of triangle
[tex]A = \frac{1}{2}bh[/tex]
A ... area of triangle
b ... base (one of the sides of the triangle)
h ... height perpendicular to base
Step-by-step explanation:
Given:
A = 90°
AB = 20 in
AC = 15 in
See attached picture.
1) BC
To find BC we can use Pythagorean theorem, since ABC is a right triangle. We have the lengths of two legs (AB, AC) and we are finding the hypotenuse.
[tex]c^2 = a^2 + b^2\\\text{BC}^2 = \text{AB}^2 + \text{AC}^2\\\text{BC}^2 = 20^2 + 15^2\\\text{BC}^2 = 625\\\sqrt{\text{BC}^2} = \sqrt{625}\\\text{BC} = 25 \text{ in}[/tex]
2) AN
AN is the height corresponding to base BC. To find it we can use formula for the area of the triangle. But first let's find the area of the triangle.
Notice how AB is perpendicular to AC. We can use AB as base and AC as height.
[tex]A = \frac{1}{2}bh\\\\A = \frac{1}{2} \times \text{AB} \times \text{AC}\\\\A = \frac{1}{2} \times 20 \times 15\\\\A = 150 \text{ in}^2[/tex]
Now that we have area, we can use BC as base and AN as height and solve for AN.
[tex]A = \frac{1}{2}bh\\\\A = \frac{1}{2} \times \text{BC} \times \text{AN}\\\\150 = \frac{1}{2} \times 25 \times \text{AN}\\\\\ 300 = 25 \times \text{AN}\\\\12 = \text{AN}\\\\\text{AN} = 12 \text{ in}[/tex]
3) BN
Let's use Pythagorean theorem in right triangle ABN. Hypotenuse is AB.
[tex]c^2 = a^2 + b^2\\\text{AB}^2 = \text{AN}^2 + \text{BN}^2\\20^2 = 12^2 + \text{BN}^2\\400 = 144 + \text{BN}^2\\256 = \text{BN}^2\\\sqrt{256} = \sqrt{\text{BN}^2}\\16 \text{ in} = \text{BN}[/tex]
4) NC
We know the lengths of BC an BN, so we can just subtract.
[tex]\text{NC} = \text{BC} - \text{BN}\\\text{NC} = 25 - 16\\\text{NC} = 9 \text{ in}[/tex]
What is the product? assume x greater-than-or-equal-to 0 (startroot 3 x endroot startroot 5 endroot) (startroot 15 x endroot 2 startroot 30 endroot)
The product of the expression assuming x greater-than-or-equal-to 0 is; (30x√30).
What is the product of the expression?The product of the expression assuming the fact that x greater-than-or-equal-to 0 can be evaluated as follows;
(√(3x) × √5) (√15x × 2√30)
(√15x × 2√450x)
(2√6,750x²)
(30x√30)
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40% of the cars in a parking lot were american made cars. if there are 60
american made cars in the parking lot, how many cars are in the lot?
there are "x" amount of cars in the lot, and oddly enough that's 100%, if we know that 60 is 40% of that, what is "x"?
[tex]\begin{array}{ccll} amount&\%\\ \cline{1-2} x & 100\\ 60& 40 \end{array} \implies \cfrac{x}{60}=\cfrac{100}{40}\implies \cfrac{x}{60}=\cfrac{5}{2} \\\\\\ 2x=300\implies x=\cfrac{300}{2}\implies x=150[/tex]
Between which two consecutive whole numbers does \sqrt{37}
37
lie? Fill out the sentence below to justify your answer and use your mouse to drag \sqrt{37}
37
to an approximately correct location on the number line.
Natural numbers are those that can be counted and ordered. The two consecutive whole numbers between which √37 lies are 6 and 7.
What are natural numbers?Natural numbers are those that can be counted and ordered. Cardinal numbers are those used for counting, while ordinal numbers are those used for ranking.
The value of √37 is equal to 6.0827 units. Therefore, the two consecutive whole numbers between which √37 lies are 6 and 7.
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Calculator
What is the length
YX₂
Enter your answer as a decimal in the box. Round your final
answer to the nearest hundredth.
m
of
9m
19 m
A•
X
N
Answer:
1. You can solve this problem by applying the Tangent Secant Theorem. Then, you have:
YX²=(YZ)(YV)
YX=√(YZ)(YV)
YZ=9+19
YV=9
2. When you substitute the values of YZ and YV into YX=√(YZ)(YV), you obtain:
YX=√(YZ)(YV)
YX=√(9+19)(9)
YX=√(28)(9)
YX=√252
YX=15.87
What is the length of YX?
The answer is: The lenght of YX is 15.87
Angle relationships with parallel lines
Answer:
x = 132
Step-by-step explanation:
x = 180 - 48
x = 132
A ramp rises 3.5 feet & has an angle of elevation
of 24 degrees. How long is the ramp?
Check the picture below.
Make sure your calculator is in Degree mode.
Find y.
Do not round your answer.
9 in
у
5 in
Х
19 in
y = [ ? ] in
=
Answer: 11.2
I found the answer in the comments and figured I should make it an answer, so it's easy to find:)
<3
HELP!!!!!!
This is the only thing i dont understand in my math class
Answer:
{1, 2, 3, 4}
Step-by-step explanation:
Concepts
The domain of a function is all the possible x-values for that function. In other words, it's all the x-coordinates listed in the graph.
Application
In this case, we have to list the domain of the given function. To do this, we have to first label the points, and then list their x-coordinates in increasing order.
Solution
Points:
(1, 4)(2, 3)(3, 2)(4, 1)X-Coordinates:
1, 2, 3, 4Domain:
{1, 2, 3, 4}For the function: f(x) = 18 − x − x2
Find f(9)
Identify an equation in slope-intercept form for the line parallel to y = 4x - 9
that passes through (-5,3).
O A. y = 4x - 23
ОВу
O B. y - 1x+45
4x
O c. y = 4x+23
O D. y= - 4x + 7
Answer:
c. y=4x+24
Step-by-step explanation:
To identify the equation, the equation must satisfy the points (-5,3).
putting x as -5 should give us y=3
c. y = 4x + 23
y = 4 * (-5) + 23
y = -20 + 23
y = 3
[tex]\rule{300}{1}\\\dashrightarrow\large\textsf{\textbf{\underline{Given question:-}}}[/tex]
Identify an equation in slope-intercept form for the line parallel to y = 4x - 9
that passes through (-5,3).
[tex]\dashrightarrow\large\textsf{\textbf{\underline{\underline{Answer and how to solve:-}}}}[/tex]
If lines are parallel to each other, they have the same slope.
If a line is parallel to [tex]\bold{y=4x-9}[/tex], and the slope of this line is 4, then the slope of the line that's parallel to [tex]\bold{y=4x-9}[/tex] also has a slope of 4.
All right, we know the slope, but that's part of the slope-intercept equation,
We also need to identify the y-intercept; one way to find it (the one I always use) is the point-slope form.
Point-slope form looks like so:-
[tex]\longmapsto\sf{y-y_1=m(x-x_1)}[/tex]
Replace y1 with 3, m with 4, and x1 with -5:-
[tex]\longmapsto\sf{y-3=4(x-(-5)}[/tex]
On simplification,
[tex]\longmapsto\sf{y-3=4(x+5)}[/tex]
On further simplification,
[tex]\longmapsto\sf{y-3=4x+20}[/tex]
On further simplification,
[tex]\longmapsto\sf{y=4x+20+3}[/tex]
Final equation:-
[tex]\longmapsto\sf{y=4x+23}[/tex]
Good luck with your studies.[tex]\rule{300}{1}[/tex]
Helpppppppppp meeeeeee pleaseeeeeeeee
Answer:
If you are rounding to the nearest tens the smallest number is 45. If you are rounding to the nearest whole number, the smallest number is 49.5
Answer:
49 and 51
Hope it helps
Find the perimeter of the triangle
Answer:
38cm
Step-by-step explanation:
set 3x-5 and 19-x equal to eachother, since, given as its an isoscles triangle, they should be equal. After you work out the equation, you're left with x=6. So now you plug that it.
3(6)-5=13
19-(6)=13
2(6)=12
Now you add them all together, so the perimeter is 38 cm.
How many times can you subtract the number five from 25.
Answer:
one time
Step-by-step explanation:
because after that you would subtract by 20
HELP NOW PLEASEE
h(x)=x^(2)+x+9
find h (-2)
find h (4)
and find h (0)
Answer:
11, 29, 9
Step-by-step explanation:
substitute x = - 2, 4, 0 into h(x)
h(- 2) = (- 2)² + (- 2) + 9 = 4 - 2 + 9 = 2 + 9 = 11
h(4) = 4² + 4 + 9 = 16 + 4 + 9 = 29
h(0) = 0² + 0 + 9 = 0 + 0 + 9 = 9
Amber is solving the inequality |x+6| - 12 < 13 by graphing. Which equations should Amber graph?
Answer:
y₁ = |x+6| ; y₂ = 25
Step-by-step explanation:
|x+6| - 12 < 13
⇔ |x+6| < 25
Equation for the given inequality is equals to [tex]y_{1} =| x+ 6| , y_{2} =25[/tex]
What is inequality?" Inequality is defined as the algebraic expression which represents the relation between two variables using sign of inequality."
According to the question,
Given inequality,
|x+6| - 12 < 13
Add both the side of the inequality 12 we get ,
|x+6| - 12+12< 13 + 12
⇒ |x+6| < 25
As represent in the graph equation for the given inequality are,
[tex]y_{1} =| x+ 6| , y_{2} =25[/tex]
Hence, equation for the given inequality is equals to [tex]y_{1} =| x+ 6| , y_{2} =25[/tex].
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A landscape architect used the entire length of an 80-foot rope to lay out a flower bed in the shape of a square. In another area, he used the entire length of the same rope to lay out a second flower bed in the shape of a circle. (Drawings not to scale.)
What is the area of the square?
What is the area of the circle? Round your answer to the nearest square foot?
Which shape should the landscape architect recommend to a client who wants the largest possible area for an 80-foot rope?
A.
Square
B.
Circle
Answer: The area of the square is 400sqf.
Answer 2: Area of circle = 509.31 square feet.
Answer 3: The circle because the circle's are is larger
Answers:
Area of the square = 400 square feetArea of the circle = 509 square feetRecommended shape with largest area = Circle==========================================================
Explanation:
The rope forms the perimeter of each shape. This is the distance around the outer edges.
The square has all four sides the same length. Since we have 80 feet of rope, each side must be 80/4 = 20 feet long.
The area of the square is 20*20 = 400 square feet.
--------------
The circle has a circumference of 80 feet, which leads to a radius of...
C = 2*pi*r
r = C/(2pi)
r = 80/(2pi)
r = 12.732395
which is approximate. I used my calculator's stored version of pi so I could get the most accuracy possible.
Then use this to find the area of the circle
A = pi*r^2
A = pi*(12.732395)^2
A = 509.295782
This value is also approximate.
When rounding to the nearest whole number, we get A = 509
The area of the circle is about 509 square feet.
The circle has the largest area.
a birthday cake is divided equally between 9 people what fraction of the cake does each person have?
[tex]\rule{300}{1}\\\dashrightarrow\large\blue\textsf{\textbf{\underline{Given question:-}}}[/tex]
A birthday cake is divided equally between 9 people.
What fraction of the cake does each person have?
[tex]\dashrightarrow\large\textsf{\textbf{\underline{\underline{Answer and How to solve:-}}}}[/tex]
[tex]\ast[/tex] Remember, a fraction looks like:-
[tex]\boxed{\frac{\xrightarrow{numerator}x}{\xrightarrow{denominator}{y}}}[/tex]
Where:-
numerator -> number of parts takendenominator -> total parts
In this case we divide a cake equally between 9 people, so we divide the cake into 9 parts, and each person gets a part of the cake.
So we have a fraction as follows:-
[tex]\dfrac{?}{9}[/tex]
Now, each person gets 1 part. 1 becomes our numerator:-
[tex]\dfrac{1}{9}[/tex]
[tex]\uparrow\sf{Our\:Answer}[/tex]
Good luck with your studies.[tex]\rule{300}{1}[/tex]
Find the value of x. Round your answer to the nearest tenth
Answer:
Your answer would be 24 but then if you round it to the nearest tenth the you would have 20
Step-by-step explanation:
i hope this helps
Plsss helppp its worth 20 points
Answer:
a. sides BC & EF
b. <A & <D
2a. A / B, not that sure
please help I need this
Answer:
the best answer is B
commending, is the act of praise or approval
C
Answer:
Why because u and the person sharing room, he or she is not slave to you. he or she do 50 percent and you 50 percent to keep peace in the room. steps why if the person say they are moving out then in that case who will clean the room
x/13 - 1 = 5x/2 + 1/2
please answer the question pls pls pls pls
[tex]\huge\underline{\red{A}\blue{n}\pink{s}\purple{w}\orange{e}\green{r} -}[/tex]
the given expression can be solved as follows ~
[tex] \frac{x}{13} - 1 = \frac{5x}{2} + \frac{1}{2} \\ [/tex]
taking LCM both the sides ,
[tex] \frac{x - 13}{13} = \frac{5x + 1}{2} \\ [/tex]
on cross multiplying ,
[tex](x - 13)2 = (5x + 1)13 \\ \\ \implies \: 2x - 26 = 65x + 13[/tex]
let's now gather the like terms at either sides of the equation ~
[tex]65x - 2x = - 26 - 13 \\ \\ \implies \: 63x = - 39 \\ \\ \implies \: x = \frac{\cancel{ - 39}}{\cancel{63}} [/tex]
on simplifying the equation ,
[tex] \implies \frac{-13}{21}\\[/tex]
hope helpful ~
Which graph shows the solution to the system of linear inequalities?
2x – 3y <12
y < –3
On a coordinate plane, 2 lines are shown. The first dashed straight line is horizontal to the y-axis at y = negative 3. Everything below the line is shaded. The second solid line has a positive slope and goes through (0, negative 4) and (3, negative 2). Everything below the line is shaded.
On a coordinate plane, 2 lines are shown. The first dashed straight line is horizontal to the y-axis at y = negative 3. Everything above the line is shaded. The second solid line has a positive slope and goes through (0, negative 4) and (3, negative 2). Everything above the line is shaded.
On a coordinate plane, 2 lines are shown. The first dashed straight line is horizontal to the y-axis at y = negative 3. Everything below the line is shaded. The second solid line has a positive slope and goes through (0, negative 4) and (3, negative 2). Everything above the line is shaded.
On a coordinate plane, 2 lines are shown. The first dashed straight line is horizontal to the y-axis at y = negative 3. Everything above the line is shaded. The second solid line has a positive slope and goes through (0, negative 4) and (3, negative 2). Everything below the line is shaded.
The statement third is correct, which is the first dashed straight line is horizontal to the y-axis at y = -3. Everything below the line is shaded.
The second solid line has a positive slope and goes through (0, - 4) and (3, -2). Everything above the line is shaded.
What is inequality?It is defined as the expression in mathematics in which both sides are not equal they have mathematical signs either less than or greater than, known as inequality.
We have two inequality:
2x – 3y <12
y < –3
If we draw these two inequalities on the graph, we will see:
On a coordinate plane, 2 lines are shown. The first dashed straight line is horizontal to the y-axis at y = negative 3. Everything below the line is shaded.
The second solid line has a positive slope and goes through (0, negative 4) and (3, negative 2). Everything above the line is shaded.
Thus, the statement third is correct, which is the first dashed straight line is horizontal to the y-axis at y = -3. Everything below the line is shaded.
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Which is Greater, negative 2 and 2 fifths or negative 2 and 1 forth?
Answer:
-2 and 1/4
Step-by-step explanation:
1/4 is equal to 0.25
2/5 is equal to 0.40
Because it is negative, 1/4 is considered greater.
Will mark brainlist to whoever answers first!
Full explanation please
Answer:
D
Step-by-step explanation:
To find the scale factor for a dilation, we find the center point of dilation and measure the distance from this center point to a point on the preimage and also the distance from the center point to a point on the image. The ratio of these distances gives us the scale factor,
J-(2,2)
A-(4,4)
--
G-(-2,-2)
C-(-4,-4)
--
H-(4,4)
B-(8,8)
A container holds 4800 cubic inches of waste. The dimensions of the container are tripled. How many cubic feet
of waste does the new container hold?
This is a 3-D container and the dimensional factor is F=3. The volume increases by a factor of 33 = 27.
The answer is 4608 x 27 / 123 = 72
The G.C.D of the three number and their L.C.M is 900. Two of the number are 60 and 150. what are the other possible numbers
Which of the following are true? Select all that apply.
1. 9 m = 9000 mm
2. 8 km = 8000 m
3. 10 cm = 100 mm
4. 890 cm = 8900 m
5. 2000 m = 20 km
6. 4 m = 40 cm
The following are true:
1. 9 m = 9000 mm
2. 8 km = 8000 m
3. 10 cm = 100 mm
What is unit conversion?Unit conversion is a multi-step process that involves multiplication or division by a numerical factor, selection of the correct number of significant digits, and rounding.
1. 9m in mm
1 m = 1000 mm
9 m = 9000 mm
2. 8 Km in m
1 Km = 1000 m
8 Km = 8000 m
3. 10 cm in mm
1 cm = 10 mm
10 cm = 100 mm
4. 890 cm in m
1 cm = 1/100 m
890 cm = 8.9 m
5. 2000 m in Km
i m = 1/1000 Km
2000 m= 2 Km
6. 4 m in cm
1 m = 100 cm
4 m = 400 cm
From the above discussion (1), (2), (3) are true.
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please help.... thank you
Answer:
going from left to right
1. 1/2
2. 3/4
3. 1 1/4
4. 1 1/2
5. 1 3/4
6. 2 1/2
7. 2 3/4
8. 3 1/2
9. 3 3/4
since 1/2 is > 1/4
and 3/4 is > 1/2
whenever you have a number in front of a fraction, it goes between the number it is (say 3) and the number after (4)
hope this helps:)
